Atkin-Lehner |
2+ 3- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
122544k |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
423088551936 = 211 · 38 · 23 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -6 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8499,-299950] |
[a1,a2,a3,a4,a6] |
Generators |
[175:1890:1] |
Generators of the group modulo torsion |
j |
45474687074/283383 |
j-invariant |
L |
6.1461071838646 |
L(r)(E,1)/r! |
Ω |
0.49741700058642 |
Real period |
R |
3.0890114133023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025929 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61272d2 40848a2 |
Quadratic twists by: -4 -3 |